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Finding the Fourth Proportional to 13,149, 18,146.16 and 7,560

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Solution

The fourth proportional to 13,149, 18,146.16 and 7,560 is: 10,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 18,146.16 = 7,560 : x
  2. Step 2: Convert to fraction form
    13,149/18,146.16 = 7,560/x
  3. Step 3: Cross multiply
    13,149x = 18,146.16 × 7,560
  4. Step 4: Simplify right side
    13,149x = 137,184,969.60
  5. Step 5: Solve for x
    x = 137,184,969.60/13,149
  6. Step 6: Final answer
    x = 10,433.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.